Question

class a
class b
test score
(a) which class had a higher median test score?
class a
(b) which class had the highest test score?
class b
(c) a score above 70 is considered passing. which class had more passing scores?
both had the same number
(d) which class had test scores with a larger interquartile range (iqr)?
select

Explanation:

Step1: Recall IQR definition

The inter - quartile range (IQR) is the difference between the third quartile ($Q_3$) and the first quartile ($Q_1$), i.e., $IQR = Q_3 - Q_1$.

Step2: Identify $Q_1$ and $Q_3$ for Class A

For Class A, from the box - and - whisker plot, $Q_1$ is approximately 70 and $Q_3$ is approximately 85. So, $IQR_A=85 - 70=15$.

Step3: Identify $Q_1$ and $Q_3$ for Class B

For Class B, from the box - and - whisker plot, $Q_1$ is approximately 70 and $Q_3$ is approximately 75. So, $IQR_B=75 - 70 = 5$.

Answer:

Class A